LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.
Answer:
4.229
Step-by-step explanation:
75 = 4(2)^x
75/4 = 2^x
Apply ln both sides
ln(75/4) = ln(2^x)
ln(75/4) = x ln(2)
x = ln(75/4) ÷ ln(2)
x = 4.22881869
If you would like to solve 26/57 = 849/5x, you can do this using the following steps:
<span>26/57 = 849/5x /*(5x)
</span>26/57 * (5x) = 849 /*57
26 * 5x = 849 * 57 /26
5x = 48393/26 /5
x = <span>48393/(26*5)
x = 372.25
The correct result would be </span><span>372.25.</span><span>
</span>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.
It seems to be a good idea to start with the formula for the volume.
Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).
Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.
Evaluating it gives the volume in cubic units.
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<em>Additional comment</em>
If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).
However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.
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